21414489600 has 720 divisors, whose sum is σ = 86766768000. Its totient is φ = 4629381120.

The previous prime is 21414489587. The next prime is 21414489623. The reversal of 21414489600 is 698441412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35750101 + ... + 35750699.

It is an arithmetic number, because the mean of its divisors is an integer number (120509400).

Almost surely, 2^21414489600 is an apocalyptic number.

21414489600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21414489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43383384000).

21414489600 is an abundant number, since it is smaller than the sum of its proper divisors (65352278400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21414489600 is a wasteful number, since it uses less digits than its factorization.

21414489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 21414489600 in words is "twenty-one billion, four hundred fourteen million, four hundred eighty-nine thousand, six hundred".